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Haos

Haos. Pendul gravitational: Solutia analitica. Liniarizare. Discretizare: Metoda lui Euler. Metoda lui Euler-Cromer. Pendul anarmonic, amortizat si fortat. Comportare „normala” si haotica. Exponent Lyapunov. Spatiul fazelor. Atractor straniu.

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Haos

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  1. Haos

  2. Pendul gravitational: Solutia analitica

  3. Liniarizare Discretizare: Metoda lui Euler Metoda lui Euler-Cromer

  4. Pendul anarmonic, amortizat si fortat

  5. Comportare „normala” si haotica Exponent Lyapunov

  6. Spatiul fazelor

  7. Atractor straniu Multimea punctelor in faza cu forta FD in zona haotica

  8. Rute spre haos: dublarea perioadei Comportare normala: forta Fd cu frecventa Ωd induce oscilatii cu frecventele 2Ωd,3Ωd.. Comportare haotica: se induc subarmonice Ωd/2 etc.

  9. 1.44 1.465

  10. Logistic map Comportare fractala

  11. Modelul Lorenz Ruta intermitenta spre haos

  12. Biliardul

  13. Biliardul circular si stadion α - raportul dintre distanta centrelor si raza

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